] actually depicts a Gaussian beam with a center frequency f0=ω0/2π=c/λ0=30GHz and a λ0 waist incident at 40° from a DPS medium with εr
=9.0 and µr
=1.0 onto a slab with εr
(ω)=9.0+[1-ωp2
/ω(ω+iΓ)] and µr
(ω)=1-ωp2
/ω(ω+iΓ). Thus, the slab values at the center frequency were Re[εr
(ω0)]≈+6.0 and Re[µr
(ω0)]≈-3.0; hence, the slab was a lossy magnetic conductor rather than the intended DNG slab. This explains why, in contrast to the DPS case, there was no penetration of the beam into the slab and why a smaller than expected negative lateral shift was obtained. Figure 1 shows the corrected results for the beam incident on a DNG slab with εr
(ω)=1-ωp2/ω(ω+iΓ) and µr
(ω)=1-ωp2/ω(ω+iΓ) so that, as was originally intended, Re[εr
(ω0)]≈-3.0 and Re[µr
(ω0)]≈-1.0. The transverse lateral shift of the beam can be seen more clearly in the movie and, like the DPS case, there is penetration into the DNG slab. A time delay in the emergence of the reflected beam from the DNG slab is still apparent. Moreover, in contrast to the DPS case in which the penetration occurs with a positive angle of refraction, one can see that the penetration occurs with a negative angle of refraction. The corrected transverse sampling of the incident and reflected beams is given in Fig. 2. The initial beam center and the specularly reflected beam center are indicated by the vertical black lines. The predicted Goos-Hänchen-shifted beam center is indicated by the vertical green line. An analysis of the centroid of the reflected beams yielded approximately a lateral shift of -33cells, in excellent agreement with the predicted value of -32cells. These corrected DNG Goos-Hänchen results are now completely consistent with those reported in [1

Fig. 1. (1.17 MB movie) Electric field intensity distribution for the interaction of a CW Gaussian beam that is incident at 40° in a DPS medium with εr
=9.0 and µr
=+1, i.e., n=+3; to a DNG slab having εr
=-3.0 and µr
=-1, i.e., n=-√3. The negative Goos-Hachen shift of this beam is observed.

Fig. 2. The electric field intensity distribution measured at t=6000Δt at two cells in front of the TF-SF plane for the total internal reflection DNG slab case. The positions of the incident beam center and the specularly-reflected beam center are indicated by the vertical black lines. The theoretical negative Goös-Hachen shift is indicated by the vertical green line.

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.